My best friend started playing Eve this week after years of reluctance. I would love him to stick with it this time and I happened across a wonderful ship fit.
I've taken him through much of what Eve offers - we invaded Providence with Hydra, we hunted pirates in low sec, and we've done level 4 missions with him chasing frigates for me.
What he likes most is doing his own missions and I came across an absolutely wonderful fit to play with him:
Punisher (Amarr Frigate)
Small Remote Armour Repairer
Small Energy Transfer Array I
2 Salvager Is
1 MN Afterburner I
Cap Recharger I
Small Armour Repairer I
2 Cap Power Relay Is
Biggest Armour plate that would fit in whatever's left
No rigs, no drones
You can use meta 1-2s instead of the vanilla modules. They are usually both cheaper and better.
It's underpowered and needs very low skills which makes it perfect for playing with a new person. After all he doesn't want to watch you kill things, he wants to be helped with his stuff.
It gives just enough healing to see a new person in a cruiser through some of the tougher level 2s like The Blockade.
I'm upgrading to an Exqueror in preparation for more challenging content but it's been a great ship to play with a friend who's just started. I loot and occasionally heal or give him energy, he kills. I even heal his drones sometimes. It softens the learning curve without simply overpowering it.